48083626500 has 720 divisors, whose sum is σ = 179117003520. Its totient is φ = 10016697600.

The previous prime is 48083626499. The next prime is 48083626531. The reversal of 48083626500 is 562638084.

It is a super-3 number, since 3×48083626500³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 608653461 + ... + 608653539.

It is an arithmetic number, because the mean of its divisors is an integer number (248773616).

Almost surely, 2^48083626500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48083626500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89558501760).

48083626500 is an abundant number, since it is smaller than the sum of its proper divisors (131033377020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48083626500 is a wasteful number, since it uses less digits than its factorization.

48083626500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 48083626500 in words is "forty-eight billion, eighty-three million, six hundred twenty-six thousand, five hundred".